Question

How many children would you need to invite to the party for the cost to be the same both places

Answer 1

4 children

Explanation:

Let the number of children = c.

The cost of the pizza place for c children (without the fee) = 8c

The cost of the pizza place for c children (with the fee) = 8c+30

The cost of the taco place for c children (without the fee) = 12c

The cost of the taco place for c children (with the fee) = 12c+14

To find c when the totals are equal, set 8c+30 equal to 12c+14 and solve:

8c+30=12c+14

8c-12c=14-30

-4c=-16

c=4